Berlin 2005 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 8: Posters Transport

TT 8.14: Poster

Freitag, 4. März 2005, 14:00–18:00, Poster TU C

Supersymmetry for disordered systems with interaction — •Georg Schwiete¹ and Konstantin B. Efetov^1,2 — ¹Institut für Theoretische Physik III, Ruhr-Universität Bochum — ²L. D. Landau Institute for Theoretical Physics, Moscow

Considering disordered electron systems we suggest a scheme that allows to include an electron-electron interaction into a supermatrix sigma-model [1]. The method is based on replacing the initial model of interacting electons by a fully supersymmetric model. Although this replacement is not exact, it is a good approximation for a weak short range interaction and arbitrary disorder. The replacement makes the averaging over disorder and further manipulations straightforward and we come to a supermatrix sigma-model containing an interaction term. The structure of the model is rather similar to the replica one, although the interaction term has a different form. We study the model by perturbation theory and renormalization group calculations. We check the renormalizability of the model in the first loop approximation and in the first order in the interaction. In this limit we reproduce the renormalization group equations known from earlier works. We hope that the new supermatrix sigma-model may become a new tool for non-perturbative calculations for disordered systems with interaction.

[1] G. Schwiete, K. Efetov, cond-mat/0409546